LCM of 868, 490, 470, 564, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 490, 470, 564, 144 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 868, 490, 470, 564, 144. So, keep reading to learn more.
Given numbers are 868,490,470,564,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,490,470,564,144 is 51402960.
Find LCM of 868,490,470,564,144 with Prime Factorization
| 2 | 868, 490, 470, 564, 144 |
| 2 | 434, 245, 235, 282, 72 |
| 3 | 217, 245, 235, 141, 36 |
| 5 | 217, 245, 235, 47, 12 |
| 7 | 217, 49, 47, 47, 12 |
| 47 | 31, 7, 47, 47, 12 |
| 31, 7, 1, 1, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 47 x 31 x 7 x 1 x 1 x 12 = 51402960
Therefore, the lowest common multiple of 868,490,470,564,144 is 51402960.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
868 x 490 x 470 x 564 x 144 = 16235110886400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
470 : 1, 2, 5, 10, 47, 94, 235, 470
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,490,470,564,144, is 2.
Now, the common factors can be found like this.
868:2x 2x 7x 31
490:2x 5x 7x 7
470:2x 5x 47
564:2x 2x 3x 47
144:2x 2x 2x 2x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 5x 7x 47 = 157920
Therefore, the value for common factors is 157920.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 16235110886400/(2x157920)
LCM = 16235110886400/315840
LCM = 51402960
Thus, we can understand that the LCM of 868,490,470,564,144 is 51402960.
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FAQs on LCM of 868, 490, 470, 564, 144
1. What is the LCM of 868, 490, 470, 564, 144?
Answer: LCM of 868, 490, 470, 564, 144 is 51402960.
2. How to calculate the LCM of 868, 490, 470, 564, 144?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 868, 490, 470, 564, 144.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.